LCM of 508, 629, 160, 170, 661
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 629, 160, 170, 661 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 508, 629, 160, 170, 661. So, keep reading to learn more.
Given numbers are 508,629,160,170,661
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,629,160,170,661 is 8448426080.
Find LCM of 508,629,160,170,661 with Prime Factorization
| 2 | 508, 629, 160, 170, 661 |
| 2 | 254, 629, 80, 85, 661 |
| 5 | 127, 629, 40, 85, 661 |
| 17 | 127, 629, 8, 17, 661 |
| 127, 37, 8, 1, 661 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 127 x 37 x 8 x 1 x 661 = 8448426080
Therefore, the lowest common multiple of 508,629,160,170,661 is 8448426080.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
508 x 629 x 160 x 170 x 661 = 5744929734400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
508 : 1, 2, 4, 127, 254, 508
629 : 1, 17, 37, 629
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
170 : 1, 2, 5, 10, 17, 34, 85, 170
661 : 1, 661
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,629,160,170,661, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
629:17x 37
160:2x 2x 2x 2x 2x 5
170:2x 5x 17
661:661
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 17 = 680
Therefore, the value for common factors is 680.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 5744929734400/(1x680)
LCM = 5744929734400/680
LCM = 8448426080
Thus, we can understand that the LCM of 508,629,160,170,661 is 8448426080.
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FAQs on LCM of 508, 629, 160, 170, 661
1. What is the LCM of 508, 629, 160, 170, 661?
Answer: LCM of 508, 629, 160, 170, 661 is 8448426080.
2. How to calculate the LCM of 508, 629, 160, 170, 661?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 508, 629, 160, 170, 661.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.